Question

10^x-2 . 10^x-2=1000 calculo equaçao exponencial

Answer 1

→ Lembrete:

⇒ $a^b\cdot a^c=a^{\left(b+c\right)}$
⇒ $a^b=a^c\:$ ↔ $b=c$
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$10^{\left(x-2\right)}\cdot 10^{\left(x-2\right)}=1000\\10^{\left(x-2\right)+\left(x-2\right)}=10^3\\10^{2\cdot \left(x-2\right)}=10^3\\2\cdot \left(x-2\right)=3\\2x-4=3\\2x=3+4\\\boxed{\bold{x=\frac{7}{2}}}$